Magnetospheric Electric Fields at Mercury Lars G. Blomberg Space and Plasma Physics School of Electrical Engineering Royal Institute of Technology (KTH) Stockholm MESSENGER BepiColombo Workshop, Boulder, CO, USA, 4 November 2010 Outline Background DC fields Cross polar potential & Convection Scaling Field-aligned currents & Current closure Charge flow ULF waves / “field line resonances” AC fields “Kilometric” & Synchrotron Radiation Outline Background DC fields Cross polar potential & Convection Scaling Field-aligned currents & Current closure Charge flow ULF waves / “field line resonances” AC fields “Kilometric” & Synchrotron Radiation Most topics are still unconstrained by measurements! Schematic of Mercury's magnetosphere. From Ip, 1986. Solar wind at Mercury: v = 300-800 km/s ne = 30-70 cm-3 B = 20-40 nT Ti = 11-16 eV Te = 17-21 eV Dipole moment: 200-400 nT RH3 Magnetopause stand-off: 1.0-1.5 RH Estimate varies Solar wind hits surface depending on an estimated 7% of the assumptions regardtime. ing higher order terms. Electric potential across magnetosphere: 5-25 kV Cross-tail E field: 1-5 mV/m DC & low frequency Plasma convection electric field Electric fields related to field-aligned currents and their closure Pulsations driven by solar wind interaction with the magnetosphere Inductive electric fields during tail reconfiguration Higher frequencies “Kilometric” radiation from acceleration regions Synchrotron radiation DC electric field Solar Wind v ~ 420 km/s B ~ 21-46 nT Typical electric field: 9-20 mV/m DC electric field Solar Wind v ~ 1200 km/s B ~ 40 nT ACE data from 31 October 2003 DC electric field Solar Wind v ~ 1200 km/s B ~ 40 nT ACE data from 31 October 2003 B scaled to Mercury: 140 nT at aphelion, 300 nT at perihelion DC electric field Solar Wind v ~ 1200 km/s B ~ 300 nT Extreme electric field: 360 mV/m DC electric field Solar Wind v ~ 1200 km/s B ~ 300 nT Extreme electric field: 360 mV/m Also noteworthy: 300 nT solar wind magnetic field is comparable to the surface flux density of Mercury’s intrinsic magnetic field !! DC electric field Magnetosphere typical Esw ~ 9-20 mV/m cross-section ~ 7000 km Solar wind potential drop ~ 60-140 kV DC electric field Magnetosphere typical Esw ~ 9-20 mV/m cross-section ~ 7000 km Solar wind potential drop ~ 60-140 kV 10-20% penetration => cross polar potential ~ 5-25 kV DC electric field Magnetosphere typical Esw ~ 9-20 mV/m cross-section ~ 7000 km Solar wind potential drop ~ 60-140 kV 10-20% penetration => cross polar potential ~ 5-25 kV But: can we assume that the reconnection efficiency / penetration fraction at Mercury is similar to Earth’s? Cross polar potential saturation Φ pc ΦrΦs = Φr + Φs where Φpc is the cross polar potential, Φr is the reconnection voltage, and Φs is the saturation potential Cross polar potential saturation Φ pc ΦrΦs = Φr + Φs where Φpc is the cross polar potential, Φr is the reconnection voltage, and Φs is the saturation potential However, this likely requires a dayside FAC system The terrestrial cross polar potential has been observed to saturate for both southward (two-cell convection) and northward (four-cell convection) IMF. What about Mercury? Does the cross polar potential saturate or not? Does four-cell convection / lobe reconnection happen at all? If so, what do the associated current systems look like? Sundberg et al, J. Geophys. Res., 2009 Does even stable two-cell convection exist? Two-fluid simulation of plasma convection during 1st MESSENGER flyby Benna et al., Icarus, 2010 Scaling considerations Even though the convection electric field is likely larger at Mercury than at Earth, the integrated potential across the magnetosphere is significantly smaller Similarly, the inductive electric field associated with tail reconfiguration is likely of the same order at Mercury as at Earth, but the integrated “loop voltage” is much lower Thus, acceleration processes dependent on potential drops or voltages will be less effective at Mercury Field-aligned currents Are they persistent or transient? If transient, are they part of closed current circuits or due to redistribution of net charge? Do they play a role in substorms? Magnetometer signatures of field-aligned currents at Mercury. After Slavin et al., 1997. What is the power dissipation at the load? How do they close at or near the planetary surface? Current closure No conducting ionosphere Poorly conducting photoelectron cloud on the dayside Planetary surface may conduct some current, but coupling to the environment difficult on the nightside Current closure near or through planetary surface. After Grard et al., 1997 Low mobility of charged particles on the nightside surface may give charge pileup and localized discharges Current Closure Magnetic field from field-aligned current: jz = (∇ ⋅ H ) z = ∂H y ∂H x − ∂x ∂y Current continuity in closure region: jz = ∇ ⋅ (J P + J H ) Current Closure (2) ∂H y ∂H x (∇ ⋅ H ) z = − = ∇ ⋅ (J P + J H ) ∂x ∂y J = ΣE and assuming ∇ ⋅ J H = 0 ∂ ∂ ⇒ ( H y − Σ P Ex ) − ( H x + Σ P E y ) = 0 ∂x ∂y Current Closure (3) Hy Hx Σ P = =− Ex Ey Current Closure (3) Hy Hx Σ P = =− Ex Ey assuming instead ∇ ⋅ J P = 0 Hy Hx ⇒ ΣH = − =− Ex Ey Current Closure (4) When FAC close via Pedersen currents orthogonal components of the horizontal E & B are correlated When FAC close via Hall currents aligned components of the horizontal E & B are correlated For closure in a photo-electron cloud, the ratio of “life time” to gyro period will determine whether the closure current is a Pedersen or a Hall current. Interhemispheric charge flow There are indications of the magnetic dipole being offset somewhat from the centre of Mercury (or alternatively, the quadrupole moment is significant). This would mean that all particles escaping the surface at B1 will reach the surface at B2, whereas those particles leaving the surface at B2 with a high pitch angle will mirror before reaching B1 and return to B2. B1 B1 > B2 B2 Unless the charge flow is associated with a stationary current, a weak field-aligned electric field will arise Also, there have been speculations about negative charge pile-up on the nightside possibly giving rise to localized strong potential wells (kilovolts?) Because of photo-emission, the dayside surface will charge positively, but to a much lesser extent (volts) ULF Waves / “Field line resonances” Driven by Kelvin-Helmholtz instabilities at the flanks of the magnetopause? Period depends on magnetic field and plasma density. E-B phase relationship depends on conductivity at reflective interface (at or near planetary surface). “Field-line resonances” detected by Mariner 10. After Russell, 1989. May need multi-ion treatment. Possibility to determine sodium content? (Othmer et al., 1999) Likely compressional (Kim et al., 2008) MESSENGER 3rd flyby magnetometer data Kelvin-Helmholtz waves studied by: Boardsen et al. (Geophys. Res. Lett., 2010) Sundberg et al. (Planet. Space Sci., submitted manuscript) “Field line resonances” In contrast to Earth, they are not regular MHD waves at Mercury since the transverse scale length is typically less than an ion gyro radius Compressional rather than transverse? Bounce periods of the order few - tens s to be expected May help understand reflective/conductive properties of surface (or other possible reflection regions below the spacecraft), since reflection coefficient depends on conductivity mismatching AC electric field Solar Wind fce ~ 0.5-10 kHz fpe ~ 50-100 kHz AC electric field Solar Wind fce ~ 0.5-10 kHz fpe ~ 50-100 kHz Harmonic Langmuir waves may exist in the foreshock region, up to several times fpe AC electric field Magnetosphere fce < 11 kHz (B < 400 nT) fcH+ < 6 Hz, fraction of Hz for heavier ions AC electric field Magnetosphere fce < 11 kHz Mukai et al. (2004) estimates plasma sheet densities in the range 0.1-32 cm-3 fpe ~ 3-50 kHz “HKR” “Auroral” acceleration??? Auroral like parallel electron acceleration is associated with kilometric radiation. “Auroral” acceleration region electrons Emitted at local cyclotron frequency, in the case of Mercury of the order of a few kHz. Excellent remote sensing tool for acceleration regions, also in the absense of auroral emissions. Possible problem with mixing due to wave reflection at magnetopause. Synchrotron Radiation Upper limit set by size of magnetosphere ρ = γ mv eB ≈ γ mc eB ρ= 500 km, B= 100 nT ⇒ γ = 29 corresponding to 14 MeV electron energy f peak eB Wk = 2π m W0 2 Synchrotron Radiation (2) fpeak = 2.3 MHz 500 km is likely an upper, upper limit to the possible gyro radius 300 km may be more realistic, corresponding to fpeak ≈ 1 MHz or even less, if it at all occurs... BepiColombo Mercury Magnetospheric Orbiter (MMO) Plasma Wave Investigation (PWI) Sensors & Receivers Electric Field Sensors (32m tip-to-tip dipoles): WPT (Wire-Probe anTenna) MEFISTO (Mercury Electric Field In-Situ TOol ) Magnetic Field Sensors (search-coils) LF-SC (Low-Frequency Search-Coils, 2 sensors) DB-SC (Dual-Band Search-Coils, 1+1 sensors) DC/Low frequency Electric field (0Hz ~32Hz) EWO-EFD (Electric Field Detector) Low/medium frequency E/B field (10Hz ~ 120kHz (E), 0Hz ~20kHz(B)) EWO-WFC/OFA (WaveForm Capture/Onboard Frequency Analyzer) High frequency E/B field (2.5kHz~10MHz (E), 2.5kHz~640kHz (B)) SORBET (Spectroscopie Ondes Radio & Bruit Electrostatique Thermique) Active Impedance Measurement AM2P (Active Measurement of Mercury’s Plasma ) Animation courtesy RISH, Kyoto University Possible waves in the Mercury environment From Matsumoto et al., 2006 Concluding Remarks Electric fields never directly measured at Mercury DC – MHz expected in Mercury’s magnetosphere Some terrestrial phenomena will be very similar at Mercury while others may not occur at all or be very different Size of magnetosphere often deciding factor First measurements planned for 2021... Concluding Remarks Electric fields never directly measured at Mercury DC – MHz expected in Mercury’s magnetosphere Some terrestrial phenomena will be very similar at Mercury while others may not occur at all or be very different Size of magnetosphere often deciding factor First measurements planned for 2021... Most predictable thing: we will be surprised!